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Finding the Fourth Proportional to 8,975.48, 13,468.84 and 3,429.30

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Solution

The fourth proportional to 8,975.48, 13,468.84 and 3,429.30 is: 5,146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,975.48 : 13,468.84 = 3,429.30 : x
  2. Step 2: Convert to fraction form
    8,975.48/13,468.84 = 3,429.30/x
  3. Step 3: Cross multiply
    8,975.48x = 13,468.84 × 3,429.30
  4. Step 4: Simplify right side
    8,975.48x = 46,188,684.44
  5. Step 5: Solve for x
    x = 46,188,684.44/8,975.48
  6. Step 6: Final answer
    x = 5,146.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.